The video wouldn't be valuable, because it's trivial to duplicate.
However, should it be impossible to copy videos and the only way to do a video would be to capture the events as they happen, then perhaps your video would have value.
The reasoning behind keynesian gold digging is that rich people will not accept that the government hands out money to poor people because that would threaten private businesses who are dependent on cheap labor. To make sure that the government money doesn't compete with private money you just force people to do worthless work so that working as a waiter for minimum wage is still more attractive than digging holes in summer heat. The entire point is that digging holes sucks. Meanwhile cryptocurrencies glorify digging holes.
Work for the sake of work is not valuable.
You could record video proving that you dug a hole 20 feet deep with your bare hands and then filled it up again.
That's a lot of work, but it wouldn't be valuable to anyone, except maybe as comedy.